基于可靠性稳健优化设计的齿轮轮齿修形量

摘要 在可靠性高阶矩理论基础上，将优化设计、灵敏度设计与稳健设计相融合，建立了圆柱齿轮传动的齿轮修形参数可靠性稳健设计模型，提出了一种以修形参数为设计变量，以修形参数的灵敏度和齿轮质量为目标函数的圆柱齿轮优化修形方法.从可靠性稳健设计角度解决了齿轮修形参数确定方法的问题.研究了轮齿修形参数的改变对齿轮传动可靠度的影响，通过计算机程序进行验证并获得了理想的数值计算结果.数值算例表明所提出的方法是一种非常方便和实用的改善轮齿修形量的方法，为确定齿轮轮齿最佳修形量提供了一种理论依据.
Abstract：Based on the reliability of higher order moments theory， by integrating optimization design， sensitivity design and robust design， a reliability robust design model of cylindrical gear transmission modification parameters was built and a cylindrical gear modification optimization method which regards modification parameters as the design variables and modification parameter sensitivity and gear quality as the objective function was proposed so as to solve the problem of gear modification parameter determination from the perspective of reliability-based robust design. Apart from that， the effect of the change of tooth modification parameters on gear transmission reliability was studied， whose ideal numerical results were validated and obtained through computer programing. The numerical example showed that the proposed method is a convenient and practical method to improve the amount of gear tooth modification， which can provide a theoretical basis to determine the best gear tooth modification.